lib/libcrypto/bn/asm/sparcv9a-mont.pl

   1 #!/usr/bin/env perl
   2
   3 # ====================================================================
   4 # Written by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
   5 # project. The module is, however, dual licensed under OpenSSL and
   6 # CRYPTOGAMS licenses depending on where you obtain it. For further
   7 # details see http://www.openssl.org/~appro/cryptogams/.
   8 # ====================================================================
   9
  10 # October 2005
  11 #
  12 # "Teaser" Montgomery multiplication module for UltraSPARC. Why FPU?
  13 # Because unlike integer multiplier, which simply stalls whole CPU,
  14 # FPU is fully pipelined and can effectively emit 48 bit partial
  15 # product every cycle. Why not blended SPARC v9? One can argue that
  16 # making this module dependent on UltraSPARC VIS extension limits its
  17 # binary compatibility. Well yes, it does exclude SPARC64 prior-V(!)
  18 # implementations from compatibility matrix. But the rest, whole Sun
  19 # UltraSPARC family and brand new Fujitsu's SPARC64 V, all support
  20 # VIS extension instructions used in this module. This is considered
  21 # good enough to not care about HAL SPARC64 users [if any] who have
  22 # integer-only pure SPARCv9 module to "fall down" to.
  23
  24 # USI&II cores currently exhibit uniform 2x improvement [over pre-
  25 # bn_mul_mont codebase] for all key lengths and benchmarks. On USIII
  26 # performance improves few percents for shorter keys and worsens few
  27 # percents for longer keys. This is because USIII integer multiplier
  28 # is >3x faster than USI&II one, which is harder to match [but see
  29 # TODO list below]. It should also be noted that SPARC64 V features
  30 # out-of-order execution, which *might* mean that integer multiplier
  31 # is pipelined, which in turn *might* be impossible to match... On
  32 # additional note, SPARC64 V implements FP Multiply-Add instruction,
  33 # which is perfectly usable in this context... In other words, as far
  34 # as Fujitsu SPARC64 V goes, talk to the author:-)
  35
  36 # The implementation implies following "non-natural" limitations on
  37 # input arguments:
  38 # - num may not be less than 4;
  39 # - num has to be even;
  40 # Failure to meet either condition has no fatal effects, simply
  41 # doesn't give any performance gain.
  42
  43 # TODO:
  44 # - modulo-schedule inner loop for better performance (on in-order
  45 #   execution core such as UltraSPARC this shall result in further
  46 #   noticeable(!) improvement);
  47 # - dedicated squaring procedure[?];
  48
  49 ######################################################################
  50 # November 2006
  51 #
  52 # Modulo-scheduled inner loops allow to interleave floating point and
  53 # integer instructions and minimize Read-After-Write penalties. This
  54 # results in *further* 20-50% perfromance improvement [depending on
  55 # key length, more for longer keys] on USI&II cores and 30-80% - on
  56 # USIII&IV.
  57
  58 $fname="bn_mul_mont_fpu";
  59 $bits=32;
  60 for (@ARGV) { $bits=64 if (/\-m64/ || /\-xarch\=v9/); }
  61
  62 if ($bits==64) {
  63         $bias=2047;
  64         $frame=192;
  65 } else {
  66         $bias=0;
  67         $frame=128;     # 96 rounded up to largest known cache-line
  68 }
  69 $locals=64;
  70
  71 # In order to provide for 32-/64-bit ABI duality, I keep integers wider
  72 # than 32 bit in %g1-%g4 and %o0-%o5. %l0-%l7 and %i0-%i5 are used
  73 # exclusively for pointers, indexes and other small values...
  74 # int bn_mul_mont(
  75 $rp="%i0";      # BN_ULONG *rp,
  76 $ap="%i1";      # const BN_ULONG *ap,
  77 $bp="%i2";      # const BN_ULONG *bp,
  78 $np="%i3";      # const BN_ULONG *np,
  79 $n0="%i4";      # const BN_ULONG *n0,
  80 $num="%i5";     # int num);
  81
  82 $tp="%l0";      # t[num]
  83 $ap_l="%l1";    # a[num],n[num] are smashed to 32-bit words and saved
  84 $ap_h="%l2";    # to these four vectors as double-precision FP values.
  85 $np_l="%l3";    # This way a bunch of fxtods are eliminated in second
  86 $np_h="%l4";    # loop and L1-cache aliasing is minimized...
  87 $i="%l5";
  88 $j="%l6";
  89 $mask="%l7";    # 16-bit mask, 0xffff
  90
  91 $n0="%g4";      # reassigned(!) to "64-bit" register
  92 $carry="%i4";   # %i4 reused(!) for a carry bit
  93
  94 # FP register naming chart
  95 #
  96 #     ..HILO
  97 #       dcba
  98 #   --------
  99 #        LOa
 100 #       LOb
 101 #      LOc
 102 #     LOd
 103 #      HIa
 104 #     HIb
 105 #    HIc
 106 #   HId
 107 #    ..a
 108 #   ..b
 109 $ba="%f0";    $bb="%f2";    $bc="%f4";    $bd="%f6";
 110 $na="%f8";    $nb="%f10";   $nc="%f12";   $nd="%f14";
 111 $alo="%f16";  $alo_="%f17"; $ahi="%f18";  $ahi_="%f19";
 112 $nlo="%f20";  $nlo_="%f21"; $nhi="%f22";  $nhi_="%f23";
 113
 114 $dota="%f24"; $dotb="%f26";
 115
 116 $aloa="%f32"; $alob="%f34"; $aloc="%f36"; $alod="%f38";
 117 $ahia="%f40"; $ahib="%f42"; $ahic="%f44"; $ahid="%f46";
 118 $nloa="%f48"; $nlob="%f50"; $nloc="%f52"; $nlod="%f54";
 119 $nhia="%f56"; $nhib="%f58"; $nhic="%f60"; $nhid="%f62";
 120
 121 $ASI_FL16_P=0xD2;       # magic ASI value to engage 16-bit FP load
 122
 123 $code=<<___;
 124 .section        ".text",#alloc,#execinstr
 125
 126 .global $fname
 127 .align  32
 128 $fname:
 129         save    %sp,-$frame-$locals,%sp
 130
 131         cmp     $num,4
 132         bl,a,pn %icc,.Lret
 133         clr     %i0
 134         andcc   $num,1,%g0              ! $num has to be even...
 135         bnz,a,pn %icc,.Lret
 136         clr     %i0                     ! signal "unsupported input value"
 137
 138         srl     $num,1,$num
 139         sethi   %hi(0xffff),$mask
 140         ld      [%i4+0],$n0             ! $n0 reassigned, remember?
 141         or      $mask,%lo(0xffff),$mask
 142         ld      [%i4+4],%o0
 143         sllx    %o0,32,%o0
 144         or      %o0,$n0,$n0             ! $n0=n0[1].n0[0]
 145
 146         sll     $num,3,$num             ! num*=8
 147
 148         add     %sp,$bias,%o0           ! real top of stack
 149         sll     $num,2,%o1
 150         add     %o1,$num,%o1            ! %o1=num*5
 151         sub     %o0,%o1,%o0
 152         and     %o0,-2048,%o0           ! optimize TLB utilization
 153         sub     %o0,$bias,%sp           ! alloca(5*num*8)
 154
 155         rd      %asi,%o7                ! save %asi
 156         add     %sp,$bias+$frame+$locals,$tp
 157         add     $tp,$num,$ap_l
 158         add     $ap_l,$num,$ap_l        ! [an]p_[lh] point at the vectors' ends !
 159         add     $ap_l,$num,$ap_h
 160         add     $ap_h,$num,$np_l
 161         add     $np_l,$num,$np_h
 162
 163         wr      %g0,$ASI_FL16_P,%asi    ! setup %asi for 16-bit FP loads
 164
 165         add     $rp,$num,$rp            ! readjust input pointers to point
 166         add     $ap,$num,$ap            ! at the ends too...
 167         add     $bp,$num,$bp
 168         add     $np,$num,$np
 169
 170         stx     %o7,[%sp+$bias+$frame+48]       ! save %asi
 171 \f
 172         sub     %g0,$num,$i             ! i=-num
 173         sub     %g0,$num,$j             ! j=-num
 174
 175         add     $ap,$j,%o3
 176         add     $bp,$i,%o4
 177
 178         ld      [%o3+4],%g1             ! bp[0]
 179         ld      [%o3+0],%o0
 180         ld      [%o4+4],%g5             ! ap[0]
 181         sllx    %g1,32,%g1
 182         ld      [%o4+0],%o1
 183         sllx    %g5,32,%g5
 184         or      %g1,%o0,%o0
 185         or      %g5,%o1,%o1
 186
 187         add     $np,$j,%o5
 188
 189         mulx    %o1,%o0,%o0             ! ap[0]*bp[0]
 190         mulx    $n0,%o0,%o0             ! ap[0]*bp[0]*n0
 191         stx     %o0,[%sp+$bias+$frame+0]
 192
 193         ld      [%o3+0],$alo_   ! load a[j] as pair of 32-bit words
 194         fzeros  $alo
 195         ld      [%o3+4],$ahi_
 196         fzeros  $ahi
 197         ld      [%o5+0],$nlo_   ! load n[j] as pair of 32-bit words
 198         fzeros  $nlo
 199         ld      [%o5+4],$nhi_
 200         fzeros  $nhi
 201
 202         ! transfer b[i] to FPU as 4x16-bit values
 203         ldda    [%o4+2]%asi,$ba
 204         fxtod   $alo,$alo
 205         ldda    [%o4+0]%asi,$bb
 206         fxtod   $ahi,$ahi
 207         ldda    [%o4+6]%asi,$bc
 208         fxtod   $nlo,$nlo
 209         ldda    [%o4+4]%asi,$bd
 210         fxtod   $nhi,$nhi
 211
 212         ! transfer ap[0]*b[0]*n0 to FPU as 4x16-bit values
 213         ldda    [%sp+$bias+$frame+6]%asi,$na
 214         fxtod   $ba,$ba
 215         ldda    [%sp+$bias+$frame+4]%asi,$nb
 216         fxtod   $bb,$bb
 217         ldda    [%sp+$bias+$frame+2]%asi,$nc
 218         fxtod   $bc,$bc
 219         ldda    [%sp+$bias+$frame+0]%asi,$nd
 220         fxtod   $bd,$bd
 221
 222         std     $alo,[$ap_l+$j]         ! save smashed ap[j] in double format
 223         fxtod   $na,$na
 224         std     $ahi,[$ap_h+$j]
 225         fxtod   $nb,$nb
 226         std     $nlo,[$np_l+$j]         ! save smashed np[j] in double format
 227         fxtod   $nc,$nc
 228         std     $nhi,[$np_h+$j]
 229         fxtod   $nd,$nd
 230
 231                 fmuld   $alo,$ba,$aloa
 232                 fmuld   $nlo,$na,$nloa
 233                 fmuld   $alo,$bb,$alob
 234                 fmuld   $nlo,$nb,$nlob
 235                 fmuld   $alo,$bc,$aloc
 236         faddd   $aloa,$nloa,$nloa
 237                 fmuld   $nlo,$nc,$nloc
 238                 fmuld   $alo,$bd,$alod
 239         faddd   $alob,$nlob,$nlob
 240                 fmuld   $nlo,$nd,$nlod
 241                 fmuld   $ahi,$ba,$ahia
 242         faddd   $aloc,$nloc,$nloc
 243                 fmuld   $nhi,$na,$nhia
 244                 fmuld   $ahi,$bb,$ahib
 245         faddd   $alod,$nlod,$nlod
 246                 fmuld   $nhi,$nb,$nhib
 247                 fmuld   $ahi,$bc,$ahic
 248         faddd   $ahia,$nhia,$nhia
 249                 fmuld   $nhi,$nc,$nhic
 250                 fmuld   $ahi,$bd,$ahid
 251         faddd   $ahib,$nhib,$nhib
 252                 fmuld   $nhi,$nd,$nhid
 253
 254         faddd   $ahic,$nhic,$dota       ! $nhic
 255         faddd   $ahid,$nhid,$dotb       ! $nhid
 256
 257         faddd   $nloc,$nhia,$nloc
 258         faddd   $nlod,$nhib,$nlod
 259
 260         fdtox   $nloa,$nloa
 261         fdtox   $nlob,$nlob
 262         fdtox   $nloc,$nloc
 263         fdtox   $nlod,$nlod
 264
 265         std     $nloa,[%sp+$bias+$frame+0]
 266         add     $j,8,$j
 267         std     $nlob,[%sp+$bias+$frame+8]
 268         add     $ap,$j,%o4
 269         std     $nloc,[%sp+$bias+$frame+16]
 270         add     $np,$j,%o5
 271         std     $nlod,[%sp+$bias+$frame+24]
 272 \f
 273         ld      [%o4+0],$alo_   ! load a[j] as pair of 32-bit words
 274         fzeros  $alo
 275         ld      [%o4+4],$ahi_
 276         fzeros  $ahi
 277         ld      [%o5+0],$nlo_   ! load n[j] as pair of 32-bit words
 278         fzeros  $nlo
 279         ld      [%o5+4],$nhi_
 280         fzeros  $nhi
 281
 282         fxtod   $alo,$alo
 283         fxtod   $ahi,$ahi
 284         fxtod   $nlo,$nlo
 285         fxtod   $nhi,$nhi
 286
 287         ldx     [%sp+$bias+$frame+0],%o0
 288                 fmuld   $alo,$ba,$aloa
 289         ldx     [%sp+$bias+$frame+8],%o1
 290                 fmuld   $nlo,$na,$nloa
 291         ldx     [%sp+$bias+$frame+16],%o2
 292                 fmuld   $alo,$bb,$alob
 293         ldx     [%sp+$bias+$frame+24],%o3
 294                 fmuld   $nlo,$nb,$nlob
 295
 296         srlx    %o0,16,%o7
 297         std     $alo,[$ap_l+$j]         ! save smashed ap[j] in double format
 298                 fmuld   $alo,$bc,$aloc
 299         add     %o7,%o1,%o1
 300         std     $ahi,[$ap_h+$j]
 301                 faddd   $aloa,$nloa,$nloa
 302                 fmuld   $nlo,$nc,$nloc
 303         srlx    %o1,16,%o7
 304         std     $nlo,[$np_l+$j]         ! save smashed np[j] in double format
 305                 fmuld   $alo,$bd,$alod
 306         add     %o7,%o2,%o2
 307         std     $nhi,[$np_h+$j]
 308                 faddd   $alob,$nlob,$nlob
 309                 fmuld   $nlo,$nd,$nlod
 310         srlx    %o2,16,%o7
 311                 fmuld   $ahi,$ba,$ahia
 312         add     %o7,%o3,%o3             ! %o3.%o2[0..15].%o1[0..15].%o0[0..15]
 313                 faddd   $aloc,$nloc,$nloc
 314                 fmuld   $nhi,$na,$nhia
 315         !and    %o0,$mask,%o0
 316         !and    %o1,$mask,%o1
 317         !and    %o2,$mask,%o2
 318         !sllx   %o1,16,%o1
 319         !sllx   %o2,32,%o2
 320         !sllx   %o3,48,%o7
 321         !or     %o1,%o0,%o0
 322         !or     %o2,%o0,%o0
 323         !or     %o7,%o0,%o0             ! 64-bit result
 324         srlx    %o3,16,%g1              ! 34-bit carry
 325                 fmuld   $ahi,$bb,$ahib
 326
 327         faddd   $alod,$nlod,$nlod
 328                 fmuld   $nhi,$nb,$nhib
 329                 fmuld   $ahi,$bc,$ahic
 330         faddd   $ahia,$nhia,$nhia
 331                 fmuld   $nhi,$nc,$nhic
 332                 fmuld   $ahi,$bd,$ahid
 333         faddd   $ahib,$nhib,$nhib
 334                 fmuld   $nhi,$nd,$nhid
 335
 336         faddd   $dota,$nloa,$nloa
 337         faddd   $dotb,$nlob,$nlob
 338         faddd   $ahic,$nhic,$dota       ! $nhic
 339         faddd   $ahid,$nhid,$dotb       ! $nhid
 340
 341         faddd   $nloc,$nhia,$nloc
 342         faddd   $nlod,$nhib,$nlod
 343
 344         fdtox   $nloa,$nloa
 345         fdtox   $nlob,$nlob
 346         fdtox   $nloc,$nloc
 347         fdtox   $nlod,$nlod
 348
 349         std     $nloa,[%sp+$bias+$frame+0]
 350         std     $nlob,[%sp+$bias+$frame+8]
 351         addcc   $j,8,$j
 352         std     $nloc,[%sp+$bias+$frame+16]
 353         bz,pn   %icc,.L1stskip
 354         std     $nlod,[%sp+$bias+$frame+24]
 355 \f
 356 .align  32                      ! incidentally already aligned !
 357 .L1st:
 358         add     $ap,$j,%o4
 359         add     $np,$j,%o5
 360         ld      [%o4+0],$alo_   ! load a[j] as pair of 32-bit words
 361         fzeros  $alo
 362         ld      [%o4+4],$ahi_
 363         fzeros  $ahi
 364         ld      [%o5+0],$nlo_   ! load n[j] as pair of 32-bit words
 365         fzeros  $nlo
 366         ld      [%o5+4],$nhi_
 367         fzeros  $nhi
 368
 369         fxtod   $alo,$alo
 370         fxtod   $ahi,$ahi
 371         fxtod   $nlo,$nlo
 372         fxtod   $nhi,$nhi
 373
 374         ldx     [%sp+$bias+$frame+0],%o0
 375                 fmuld   $alo,$ba,$aloa
 376         ldx     [%sp+$bias+$frame+8],%o1
 377                 fmuld   $nlo,$na,$nloa
 378         ldx     [%sp+$bias+$frame+16],%o2
 379                 fmuld   $alo,$bb,$alob
 380         ldx     [%sp+$bias+$frame+24],%o3
 381                 fmuld   $nlo,$nb,$nlob
 382
 383         srlx    %o0,16,%o7
 384         std     $alo,[$ap_l+$j]         ! save smashed ap[j] in double format
 385                 fmuld   $alo,$bc,$aloc
 386         add     %o7,%o1,%o1
 387         std     $ahi,[$ap_h+$j]
 388                 faddd   $aloa,$nloa,$nloa
 389                 fmuld   $nlo,$nc,$nloc
 390         srlx    %o1,16,%o7
 391         std     $nlo,[$np_l+$j]         ! save smashed np[j] in double format
 392                 fmuld   $alo,$bd,$alod
 393         add     %o7,%o2,%o2
 394         std     $nhi,[$np_h+$j]
 395                 faddd   $alob,$nlob,$nlob
 396                 fmuld   $nlo,$nd,$nlod
 397         srlx    %o2,16,%o7
 398                 fmuld   $ahi,$ba,$ahia
 399         add     %o7,%o3,%o3             ! %o3.%o2[0..15].%o1[0..15].%o0[0..15]
 400         and     %o0,$mask,%o0
 401                 faddd   $aloc,$nloc,$nloc
 402                 fmuld   $nhi,$na,$nhia
 403         and     %o1,$mask,%o1
 404         and     %o2,$mask,%o2
 405                 fmuld   $ahi,$bb,$ahib
 406         sllx    %o1,16,%o1
 407                 faddd   $alod,$nlod,$nlod
 408                 fmuld   $nhi,$nb,$nhib
 409         sllx    %o2,32,%o2
 410                 fmuld   $ahi,$bc,$ahic
 411         sllx    %o3,48,%o7
 412         or      %o1,%o0,%o0
 413                 faddd   $ahia,$nhia,$nhia
 414                 fmuld   $nhi,$nc,$nhic
 415         or      %o2,%o0,%o0
 416                 fmuld   $ahi,$bd,$ahid
 417         or      %o7,%o0,%o0             ! 64-bit result
 418                 faddd   $ahib,$nhib,$nhib
 419                 fmuld   $nhi,$nd,$nhid
 420         addcc   %g1,%o0,%o0
 421                 faddd   $dota,$nloa,$nloa
 422         srlx    %o3,16,%g1              ! 34-bit carry
 423                 faddd   $dotb,$nlob,$nlob
 424         bcs,a   %xcc,.+8
 425         add     %g1,1,%g1
 426
 427         stx     %o0,[$tp]               ! tp[j-1]=
 428
 429         faddd   $ahic,$nhic,$dota       ! $nhic
 430         faddd   $ahid,$nhid,$dotb       ! $nhid
 431
 432         faddd   $nloc,$nhia,$nloc
 433         faddd   $nlod,$nhib,$nlod
 434
 435         fdtox   $nloa,$nloa
 436         fdtox   $nlob,$nlob
 437         fdtox   $nloc,$nloc
 438         fdtox   $nlod,$nlod
 439
 440         std     $nloa,[%sp+$bias+$frame+0]
 441         std     $nlob,[%sp+$bias+$frame+8]
 442         std     $nloc,[%sp+$bias+$frame+16]
 443         std     $nlod,[%sp+$bias+$frame+24]
 444
 445         addcc   $j,8,$j
 446         bnz,pt  %icc,.L1st
 447         add     $tp,8,$tp
 448 \f
 449 .L1stskip:
 450         fdtox   $dota,$dota
 451         fdtox   $dotb,$dotb
 452
 453         ldx     [%sp+$bias+$frame+0],%o0
 454         ldx     [%sp+$bias+$frame+8],%o1
 455         ldx     [%sp+$bias+$frame+16],%o2
 456         ldx     [%sp+$bias+$frame+24],%o3
 457
 458         srlx    %o0,16,%o7
 459         std     $dota,[%sp+$bias+$frame+32]
 460         add     %o7,%o1,%o1
 461         std     $dotb,[%sp+$bias+$frame+40]
 462         srlx    %o1,16,%o7
 463         add     %o7,%o2,%o2
 464         srlx    %o2,16,%o7
 465         add     %o7,%o3,%o3             ! %o3.%o2[0..15].%o1[0..15].%o0[0..15]
 466         and     %o0,$mask,%o0
 467         and     %o1,$mask,%o1
 468         and     %o2,$mask,%o2
 469         sllx    %o1,16,%o1
 470         sllx    %o2,32,%o2
 471         sllx    %o3,48,%o7
 472         or      %o1,%o0,%o0
 473         or      %o2,%o0,%o0
 474         or      %o7,%o0,%o0             ! 64-bit result
 475         ldx     [%sp+$bias+$frame+32],%o4
 476         addcc   %g1,%o0,%o0
 477         ldx     [%sp+$bias+$frame+40],%o5
 478         srlx    %o3,16,%g1              ! 34-bit carry
 479         bcs,a   %xcc,.+8
 480         add     %g1,1,%g1
 481
 482         stx     %o0,[$tp]               ! tp[j-1]=
 483         add     $tp,8,$tp
 484
 485         srlx    %o4,16,%o7
 486         add     %o7,%o5,%o5
 487         and     %o4,$mask,%o4
 488         sllx    %o5,16,%o7
 489         or      %o7,%o4,%o4
 490         addcc   %g1,%o4,%o4
 491         srlx    %o5,48,%g1
 492         bcs,a   %xcc,.+8
 493         add     %g1,1,%g1
 494
 495         mov     %g1,$carry
 496         stx     %o4,[$tp]               ! tp[num-1]=
 497 \f
 498         ba      .Louter
 499         add     $i,8,$i
 500 .align  32
 501 .Louter:
 502         sub     %g0,$num,$j             ! j=-num
 503         add     %sp,$bias+$frame+$locals,$tp
 504
 505         add     $ap,$j,%o3
 506         add     $bp,$i,%o4
 507
 508         ld      [%o3+4],%g1             ! bp[i]
 509         ld      [%o3+0],%o0
 510         ld      [%o4+4],%g5             ! ap[0]
 511         sllx    %g1,32,%g1
 512         ld      [%o4+0],%o1
 513         sllx    %g5,32,%g5
 514         or      %g1,%o0,%o0
 515         or      %g5,%o1,%o1
 516
 517         ldx     [$tp],%o2               ! tp[0]
 518         mulx    %o1,%o0,%o0
 519         addcc   %o2,%o0,%o0
 520         mulx    $n0,%o0,%o0             ! (ap[0]*bp[i]+t[0])*n0
 521         stx     %o0,[%sp+$bias+$frame+0]
 522
 523         ! transfer b[i] to FPU as 4x16-bit values
 524         ldda    [%o4+2]%asi,$ba
 525         ldda    [%o4+0]%asi,$bb
 526         ldda    [%o4+6]%asi,$bc
 527         ldda    [%o4+4]%asi,$bd
 528
 529         ! transfer (ap[0]*b[i]+t[0])*n0 to FPU as 4x16-bit values
 530         ldda    [%sp+$bias+$frame+6]%asi,$na
 531         fxtod   $ba,$ba
 532         ldda    [%sp+$bias+$frame+4]%asi,$nb
 533         fxtod   $bb,$bb
 534         ldda    [%sp+$bias+$frame+2]%asi,$nc
 535         fxtod   $bc,$bc
 536         ldda    [%sp+$bias+$frame+0]%asi,$nd
 537         fxtod   $bd,$bd
 538         ldd     [$ap_l+$j],$alo         ! load a[j] in double format
 539         fxtod   $na,$na
 540         ldd     [$ap_h+$j],$ahi
 541         fxtod   $nb,$nb
 542         ldd     [$np_l+$j],$nlo         ! load n[j] in double format
 543         fxtod   $nc,$nc
 544         ldd     [$np_h+$j],$nhi
 545         fxtod   $nd,$nd
 546
 547                 fmuld   $alo,$ba,$aloa
 548                 fmuld   $nlo,$na,$nloa
 549                 fmuld   $alo,$bb,$alob
 550                 fmuld   $nlo,$nb,$nlob
 551                 fmuld   $alo,$bc,$aloc
 552         faddd   $aloa,$nloa,$nloa
 553                 fmuld   $nlo,$nc,$nloc
 554                 fmuld   $alo,$bd,$alod
 555         faddd   $alob,$nlob,$nlob
 556                 fmuld   $nlo,$nd,$nlod
 557                 fmuld   $ahi,$ba,$ahia
 558         faddd   $aloc,$nloc,$nloc
 559                 fmuld   $nhi,$na,$nhia
 560                 fmuld   $ahi,$bb,$ahib
 561         faddd   $alod,$nlod,$nlod
 562                 fmuld   $nhi,$nb,$nhib
 563                 fmuld   $ahi,$bc,$ahic
 564         faddd   $ahia,$nhia,$nhia
 565                 fmuld   $nhi,$nc,$nhic
 566                 fmuld   $ahi,$bd,$ahid
 567         faddd   $ahib,$nhib,$nhib
 568                 fmuld   $nhi,$nd,$nhid
 569
 570         faddd   $ahic,$nhic,$dota       ! $nhic
 571         faddd   $ahid,$nhid,$dotb       ! $nhid
 572
 573         faddd   $nloc,$nhia,$nloc
 574         faddd   $nlod,$nhib,$nlod
 575
 576         fdtox   $nloa,$nloa
 577         fdtox   $nlob,$nlob
 578         fdtox   $nloc,$nloc
 579         fdtox   $nlod,$nlod
 580
 581         std     $nloa,[%sp+$bias+$frame+0]
 582         std     $nlob,[%sp+$bias+$frame+8]
 583         std     $nloc,[%sp+$bias+$frame+16]
 584         add     $j,8,$j
 585         std     $nlod,[%sp+$bias+$frame+24]
 586 \f
 587         ldd     [$ap_l+$j],$alo         ! load a[j] in double format
 588         ldd     [$ap_h+$j],$ahi
 589         ldd     [$np_l+$j],$nlo         ! load n[j] in double format
 590         ldd     [$np_h+$j],$nhi
 591
 592                 fmuld   $alo,$ba,$aloa
 593                 fmuld   $nlo,$na,$nloa
 594                 fmuld   $alo,$bb,$alob
 595                 fmuld   $nlo,$nb,$nlob
 596                 fmuld   $alo,$bc,$aloc
 597         ldx     [%sp+$bias+$frame+0],%o0
 598                 faddd   $aloa,$nloa,$nloa
 599                 fmuld   $nlo,$nc,$nloc
 600         ldx     [%sp+$bias+$frame+8],%o1
 601                 fmuld   $alo,$bd,$alod
 602         ldx     [%sp+$bias+$frame+16],%o2
 603                 faddd   $alob,$nlob,$nlob
 604                 fmuld   $nlo,$nd,$nlod
 605         ldx     [%sp+$bias+$frame+24],%o3
 606                 fmuld   $ahi,$ba,$ahia
 607
 608         srlx    %o0,16,%o7
 609                 faddd   $aloc,$nloc,$nloc
 610                 fmuld   $nhi,$na,$nhia
 611         add     %o7,%o1,%o1
 612                 fmuld   $ahi,$bb,$ahib
 613         srlx    %o1,16,%o7
 614                 faddd   $alod,$nlod,$nlod
 615                 fmuld   $nhi,$nb,$nhib
 616         add     %o7,%o2,%o2
 617                 fmuld   $ahi,$bc,$ahic
 618         srlx    %o2,16,%o7
 619                 faddd   $ahia,$nhia,$nhia
 620                 fmuld   $nhi,$nc,$nhic
 621         add     %o7,%o3,%o3             ! %o3.%o2[0..15].%o1[0..15].%o0[0..15]
 622         ! why?
 623         and     %o0,$mask,%o0
 624                 fmuld   $ahi,$bd,$ahid
 625         and     %o1,$mask,%o1
 626         and     %o2,$mask,%o2
 627                 faddd   $ahib,$nhib,$nhib
 628                 fmuld   $nhi,$nd,$nhid
 629         sllx    %o1,16,%o1
 630                 faddd   $dota,$nloa,$nloa
 631         sllx    %o2,32,%o2
 632                 faddd   $dotb,$nlob,$nlob
 633         sllx    %o3,48,%o7
 634         or      %o1,%o0,%o0
 635                 faddd   $ahic,$nhic,$dota       ! $nhic
 636         or      %o2,%o0,%o0
 637                 faddd   $ahid,$nhid,$dotb       ! $nhid
 638         or      %o7,%o0,%o0             ! 64-bit result
 639         ldx     [$tp],%o7
 640                 faddd   $nloc,$nhia,$nloc
 641         addcc   %o7,%o0,%o0
 642         ! end-of-why?
 643                 faddd   $nlod,$nhib,$nlod
 644         srlx    %o3,16,%g1              ! 34-bit carry
 645                 fdtox   $nloa,$nloa
 646         bcs,a   %xcc,.+8
 647         add     %g1,1,%g1
 648
 649         fdtox   $nlob,$nlob
 650         fdtox   $nloc,$nloc
 651         fdtox   $nlod,$nlod
 652
 653         std     $nloa,[%sp+$bias+$frame+0]
 654         std     $nlob,[%sp+$bias+$frame+8]
 655         addcc   $j,8,$j
 656         std     $nloc,[%sp+$bias+$frame+16]
 657         bz,pn   %icc,.Linnerskip
 658         std     $nlod,[%sp+$bias+$frame+24]
 659 \f
 660         ba      .Linner
 661         nop
 662 .align  32
 663 .Linner:
 664         ldd     [$ap_l+$j],$alo         ! load a[j] in double format
 665         ldd     [$ap_h+$j],$ahi
 666         ldd     [$np_l+$j],$nlo         ! load n[j] in double format
 667         ldd     [$np_h+$j],$nhi
 668
 669                 fmuld   $alo,$ba,$aloa
 670                 fmuld   $nlo,$na,$nloa
 671                 fmuld   $alo,$bb,$alob
 672                 fmuld   $nlo,$nb,$nlob
 673                 fmuld   $alo,$bc,$aloc
 674         ldx     [%sp+$bias+$frame+0],%o0
 675                 faddd   $aloa,$nloa,$nloa
 676                 fmuld   $nlo,$nc,$nloc
 677         ldx     [%sp+$bias+$frame+8],%o1
 678                 fmuld   $alo,$bd,$alod
 679         ldx     [%sp+$bias+$frame+16],%o2
 680                 faddd   $alob,$nlob,$nlob
 681                 fmuld   $nlo,$nd,$nlod
 682         ldx     [%sp+$bias+$frame+24],%o3
 683                 fmuld   $ahi,$ba,$ahia
 684
 685         srlx    %o0,16,%o7
 686                 faddd   $aloc,$nloc,$nloc
 687                 fmuld   $nhi,$na,$nhia
 688         add     %o7,%o1,%o1
 689                 fmuld   $ahi,$bb,$ahib
 690         srlx    %o1,16,%o7
 691                 faddd   $alod,$nlod,$nlod
 692                 fmuld   $nhi,$nb,$nhib
 693         add     %o7,%o2,%o2
 694                 fmuld   $ahi,$bc,$ahic
 695         srlx    %o2,16,%o7
 696                 faddd   $ahia,$nhia,$nhia
 697                 fmuld   $nhi,$nc,$nhic
 698         add     %o7,%o3,%o3             ! %o3.%o2[0..15].%o1[0..15].%o0[0..15]
 699         and     %o0,$mask,%o0
 700                 fmuld   $ahi,$bd,$ahid
 701         and     %o1,$mask,%o1
 702         and     %o2,$mask,%o2
 703                 faddd   $ahib,$nhib,$nhib
 704                 fmuld   $nhi,$nd,$nhid
 705         sllx    %o1,16,%o1
 706                 faddd   $dota,$nloa,$nloa
 707         sllx    %o2,32,%o2
 708                 faddd   $dotb,$nlob,$nlob
 709         sllx    %o3,48,%o7
 710         or      %o1,%o0,%o0
 711                 faddd   $ahic,$nhic,$dota       ! $nhic
 712         or      %o2,%o0,%o0
 713                 faddd   $ahid,$nhid,$dotb       ! $nhid
 714         or      %o7,%o0,%o0             ! 64-bit result
 715                 faddd   $nloc,$nhia,$nloc
 716         addcc   %g1,%o0,%o0
 717         ldx     [$tp+8],%o7             ! tp[j]
 718                 faddd   $nlod,$nhib,$nlod
 719         srlx    %o3,16,%g1              ! 34-bit carry
 720                 fdtox   $nloa,$nloa
 721         bcs,a   %xcc,.+8
 722         add     %g1,1,%g1
 723                 fdtox   $nlob,$nlob
 724         addcc   %o7,%o0,%o0
 725                 fdtox   $nloc,$nloc
 726         bcs,a   %xcc,.+8
 727         add     %g1,1,%g1
 728
 729         stx     %o0,[$tp]               ! tp[j-1]
 730                 fdtox   $nlod,$nlod
 731
 732         std     $nloa,[%sp+$bias+$frame+0]
 733         std     $nlob,[%sp+$bias+$frame+8]
 734         std     $nloc,[%sp+$bias+$frame+16]
 735         addcc   $j,8,$j
 736         std     $nlod,[%sp+$bias+$frame+24]
 737         bnz,pt  %icc,.Linner
 738         add     $tp,8,$tp
 739 \f
 740 .Linnerskip:
 741         fdtox   $dota,$dota
 742         fdtox   $dotb,$dotb
 743
 744         ldx     [%sp+$bias+$frame+0],%o0
 745         ldx     [%sp+$bias+$frame+8],%o1
 746         ldx     [%sp+$bias+$frame+16],%o2
 747         ldx     [%sp+$bias+$frame+24],%o3
 748
 749         srlx    %o0,16,%o7
 750         std     $dota,[%sp+$bias+$frame+32]
 751         add     %o7,%o1,%o1
 752         std     $dotb,[%sp+$bias+$frame+40]
 753         srlx    %o1,16,%o7
 754         add     %o7,%o2,%o2
 755         srlx    %o2,16,%o7
 756         add     %o7,%o3,%o3             ! %o3.%o2[0..15].%o1[0..15].%o0[0..15]
 757         and     %o0,$mask,%o0
 758         and     %o1,$mask,%o1
 759         and     %o2,$mask,%o2
 760         sllx    %o1,16,%o1
 761         sllx    %o2,32,%o2
 762         sllx    %o3,48,%o7
 763         or      %o1,%o0,%o0
 764         or      %o2,%o0,%o0
 765         ldx     [%sp+$bias+$frame+32],%o4
 766         or      %o7,%o0,%o0             ! 64-bit result
 767         ldx     [%sp+$bias+$frame+40],%o5
 768         addcc   %g1,%o0,%o0
 769         ldx     [$tp+8],%o7             ! tp[j]
 770         srlx    %o3,16,%g1              ! 34-bit carry
 771         bcs,a   %xcc,.+8
 772         add     %g1,1,%g1
 773
 774         addcc   %o7,%o0,%o0
 775         bcs,a   %xcc,.+8
 776         add     %g1,1,%g1
 777
 778         stx     %o0,[$tp]               ! tp[j-1]
 779         add     $tp,8,$tp
 780
 781         srlx    %o4,16,%o7
 782         add     %o7,%o5,%o5
 783         and     %o4,$mask,%o4
 784         sllx    %o5,16,%o7
 785         or      %o7,%o4,%o4
 786         addcc   %g1,%o4,%o4
 787         srlx    %o5,48,%g1
 788         bcs,a   %xcc,.+8
 789         add     %g1,1,%g1
 790
 791         addcc   $carry,%o4,%o4
 792         stx     %o4,[$tp]               ! tp[num-1]
 793         mov     %g1,$carry
 794         bcs,a   %xcc,.+8
 795         add     $carry,1,$carry
 796
 797         addcc   $i,8,$i
 798         bnz     %icc,.Louter
 799         nop
 800 \f
 801         add     $tp,8,$tp               ! adjust tp to point at the end
 802         orn     %g0,%g0,%g4
 803         sub     %g0,$num,%o7            ! n=-num
 804         ba      .Lsub
 805         subcc   %g0,%g0,%g0             ! clear %icc.c
 806
 807 .align  32
 808 .Lsub:
 809         ldx     [$tp+%o7],%o0
 810         add     $np,%o7,%g1
 811         ld      [%g1+0],%o2
 812         ld      [%g1+4],%o3
 813         srlx    %o0,32,%o1
 814         subccc  %o0,%o2,%o2
 815         add     $rp,%o7,%g1
 816         subccc  %o1,%o3,%o3
 817         st      %o2,[%g1+0]
 818         add     %o7,8,%o7
 819         brnz,pt %o7,.Lsub
 820         st      %o3,[%g1+4]
 821         subc    $carry,0,%g4
 822         sub     %g0,$num,%o7            ! n=-num
 823         ba      .Lcopy
 824         nop
 825
 826 .align  32
 827 .Lcopy:
 828         ldx     [$tp+%o7],%o0
 829         add     $rp,%o7,%g1
 830         ld      [%g1+0],%o2
 831         ld      [%g1+4],%o3
 832         stx     %g0,[$tp+%o7]
 833         and     %o0,%g4,%o0
 834         srlx    %o0,32,%o1
 835         andn    %o2,%g4,%o2
 836         andn    %o3,%g4,%o3
 837         or      %o2,%o0,%o0
 838         or      %o3,%o1,%o1
 839         st      %o0,[%g1+0]
 840         add     %o7,8,%o7
 841         brnz,pt %o7,.Lcopy
 842         st      %o1,[%g1+4]
 843         sub     %g0,$num,%o7            ! n=-num
 844
 845 .Lzap:
 846         stx     %g0,[$ap_l+%o7]
 847         stx     %g0,[$ap_h+%o7]
 848         stx     %g0,[$np_l+%o7]
 849         stx     %g0,[$np_h+%o7]
 850         add     %o7,8,%o7
 851         brnz,pt %o7,.Lzap
 852         nop
 853
 854         ldx     [%sp+$bias+$frame+48],%o7
 855         wr      %g0,%o7,%asi            ! restore %asi
 856
 857         mov     1,%i0
 858 .Lret:
 859         ret
 860         restore
 861 .type   $fname,#function
 862 .size   $fname,(.-$fname)
 863 .asciz  "Montgomery Multipltication for UltraSPARC, CRYPTOGAMS by <appro\@openssl.org>"
 864 .align  32
 865 ___
 866
 867 $code =~ s/\`([^\`]*)\`/eval($1)/gem;
 868
 869 # Below substitution makes it possible to compile without demanding
 870 # VIS extentions on command line, e.g. -xarch=v9 vs. -xarch=v9a. I
 871 # dare to do this, because VIS capability is detected at run-time now
 872 # and this routine is not called on CPU not capable to execute it. Do
 873 # note that fzeros is not the only VIS dependency! Another dependency
 874 # is implicit and is just _a_ numerical value loaded to %asi register,
 875 # which assembler can't recognize as VIS specific...
 876 $code =~ s/fzeros\s+%f([0-9]+)/
 877            sprintf(".word\t0x%x\t! fzeros %%f%d",0x81b00c20|($1<<25),$1)
 878           /gem;
 879
 880 print $code;
 881 # flush
 882 close STDOUT;